Chapter 8 of Timofeev's book discusses the integration of expressions involving exponentials, logarithms and hyperbolic functions. I transcribed the 109 example problems in the chapter. The integrands and candidate optimal antiderivatives are available as a pdf file at
expressed in Axiom, Maple, Mathematica and Maxima syntax. If you find and would like to contribute significantly better antiderivatives than the ones shown in the pdf file, please post them on sci.math.symbolic.